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Finding the Third Proportional to 271,820 and 391,530

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Solution

The third proportional to 271,820 and 391,530 is: 563,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,820 : 391,530 = 391,530 : x
  2. Step 2: Convert to fraction form
    271,820/391,530 = 391,530/x
  3. Step 3: Cross multiply
    271,820x = 391,530 × 391,530
  4. Step 4: Simplify right side
    271,820x = 153,295,740,900
  5. Step 5: Solve for x
    x = 153,295,740,900/271,820
  6. Step 6: Final answer
    x = 563,960.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.